Question

1) Find the missing side. Give your
answer in simplest radical form.

Answer 1

x = 4√5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

• a is a leg
• b is another leg
• c is the hypotenuse

Explanation:

Step 1: Define

Leg a = 8

Leg b = 4

Hypotenuse c = x

Step 2: Solve for x

1. Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
2. Evaluate exponents: 64 + 16 = x²
3. Add: 80 = x²
4. [Equality Property] Square root both sides: √80 = x
5. Rewrite: x = √80
6. Simplify: x = 4√5